Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s<sup>2</sup> giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

Warm-up

10 minutes

Each day, students complete a Warmup that usually consists of spiraling the previous day's material, in addition to older material. Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

For a video narrative about how I structure each lesson, and how the warm-up fits in, click here.

In this case, the warm-up gives the chance for kids to determine whether the given point is a solution to the problem.

In addition, question #2 - How many solutions does any linear function have? - spirals the idea that any linear function has an infinite number of solutions that will make the function true. I make sure to use that language over and over so kids internalize it.

4 - 4 WU 43 Define and determine slope when given a graph.docx

Play of the Day

40 minutes

4 - 4 POTD 43 Define and determine slope when given a graph.docx

4 - 4 IP43 Define and determine slope when given a graph.pdf

Huddle

10 minutes

4 - 4 Huddle.pdf

Homework

15 minutes

The homework file is a resource that generally includes 5-7 problems that consist of problems related to this lesson, as well as spiraled review. I also give the kids the answers to the problems.